Cambridge International Mathematics

) 2(2x¡3) =x(x¡3) ) 4 x¡6=x^2 ¡ 3 x ) 0=x^2 ¡ 7 x+6 ) (x¡1)(x¡6) = 0 ) x=1or 6 However,xcannot be 1 as x¡ 3 > 0 ) x=6 So, the ...

A E D B ()x¡+¡5 m xm C ()x¡+¡2 m 6m PR Q S ()2 ¡-¡1x m xm ()3 ¡-¡1x m D A X Y C B A B C D E 3cm A B N 18 m 8m AB DC X 6 In the f ...

2m 1.5 m 15 The numerator of a fraction is 5 less than the denominator. If both the numerator and denominator are increased by 4 ...

5m 6m ()x¡+¡2 m xm xcm 4cm ()x¡+¡3 cm 5cm ()x¡-¡2 cm 3cm xcm ()x¡+¡2 cm 3 Use the quadratic formula to solve: a 2 x^2 +2x¡1=0 b ...

y x Qw_ x¡=¡2 (\3 ¡2, Er_\) O 17 A stone was thrown from the top of a cliff 60 metres above sea level. The height of the stone a ...

Challenge #endboxedheading 12 Find the quadratic function with vertex(¡ 4 ,15)andy-intercept¡ 17. Give your answer in the form f ...

Two variable analysis 22 Contents: A Correlation [11.9] B Line of best fit by eye [11.9] C Linear regression [11.9] Opening prob ...

TWO VARIABLE ANALYSIS We often want to know how two variables areassociatedorrelated. We want to know whether an increase in one ...

For randomly scatteredpoints with no upward or downward trend, we say there isno correlation. Step 2: Look at the spread of poin ...

de f 2 Copy and complete the following: a If there is a positive association between the variablesxandy, then asxincreases,y.... ...

Consider again theOpening problem. After plotting the mean on the scatter diagram, we draw in the line of best fit by eye. As th ...

b c When x=70, y¼ 80 : ) we estimate the post-test score to be 80. EXERCISE 22B 1 A class of 13 students was asked to record the ...

3 A caf ́e manager believes that during April thenumber of people wanting dinneris related to the temperature at noon. Over a 13 ...

Using a graphics calculator we can obtain a scatter diagram. We then find the equation of the least squares regression line in t ...

The following table is a guide for describing the strength of linear association using the coefficient of determination: Value S ...

5 10 15 20 25 30 35 2468 S O t CARE MUST BE TAKEN WHEN EXTRAPOLATING We need to be careful when extrapolating. For example, in t ...

EXERCISE 22C 1 Revisit theOpening Problemon page 455. a Calculate the equation of the line of best fit using linear regression. ...

Lettbe the number of years since 1960 andCbe the CO 2 concentration. a Obtain a scatter diagram for the data. Is a linear model ...

3 Strawberry plants are sprayed with a pesticide-fertiliser mix. The data below give the yield of strawberries per plant for var ...

a Produce a scatter diagram fordagainstn. Does a linear model seem appropriate for this data? b Findnandd. c Plot the point (n,d ...